Section 1: Multiple Choice questions

#1 Which of the following definitions matches the term?

Derivative of arctan(x)

DNE (1/ln(a)) * a^x + C (1/a)arctan(u/a) + C 1/(1+x^2)

#2 Which of the following definitions matches the term?

Derivative of arcsin(x)

-cosecxcotx cosAcosB+sinAsinB Undefined 1/sqrt(1-x^2)

#3 Which of the following terms matches the definition?

5/2

Integral of 1/(a^2+u^2) sin(5x)/5x as x -> 0 sin(x)/x as x -> 0 sin(5x)/2x as x -> 0

#4 Which of the following definitions matches the term?

Derivative of arcsin(x)

1 -(cosecx)^2 1/sqrt(1-x^2) 1/sqrt(1-x^2)

#5 Which of the following terms matches the definition?

5/2

Limit of 1/(x^2) as x -> 0 sin(5x)/2x as x -> 0 Derivative of tanx Derivative of a^x where a is a constant

Section 2: True/false questions

#6 Determine if the following combination is true or false.

sin(5x)/5x as x -> 0

1

True

False

#7 Determine if the following combination is true or false.

x/sin(x) as x -> 0

1

True

False

#8 Determine if the following combination is true or false.

sin(x)/x as x -> 0

2sinxcosx

True

False

#9 Determine if the following combination is true or false.

sin(5x)/5x as x -> 0

1/(1+x^2)

True

False

#10 Determine if the following combination is true or false.

x/sin(x) as x -> 0

1

True

False

Section 1: Multiple Choice questions

Derivative of arctan(x)

Derivative of arcsin(x)

5/2

Derivative of arcsin(x)

5/2

Section 2: True/false questions

sin(5x)/5x as x -> 0

1

x/sin(x) as x -> 0

1

sin(x)/x as x -> 0

2sinxcosx

sin(5x)/5x as x -> 0

1/(1+x^2)

x/sin(x) as x -> 0

1

Triple-checked your answers?

Quiz menu